Step-by-step explanation:
First factor out the negative sign from the expression and reorder the terms
That's
<u>Using trigonometric </u><u>identities</u>
That's
<h3>
</h3>
<u>Rewrite the expression</u>
That's
We have
<h3>
</h3>
<u>Rewrite the second fraction</u>
That's
<h3>
</h3>
Since they have the same denominator we can write the fraction as
Using the identity
<h3>
</h3>
<u>Rewrite the expression</u>
We have
<h3>
</h3>
<u>Using the trigonometric identity</u>
<h3>
</h3>
<u>Rewrite the expression</u>
That's
<h3>
</h3>
Which is
<h3>
</h3>
<u>Using the trigonometric identity</u>
<h3>
</h3>
Rewrite the expression
That's
<h3>
</h3>
<u>Simplify the expression using symmetry of trigonometric functions</u>
That's
<h3>
</h3>
<u>Remove the parenthesis </u>
We have the final answer as
<h2>
</h2>
As proven
Hope this helps you
Rate = (150 miles)/(3 hrs) = 50 mph
so . . .
(50 mph)*(time) = 400 miles
*divide both sides by 50 mph
time = (400 miles)/(50 mph) = 8 hrs
time = 8 hrs
Answer:
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>
Answer:
d 13
Step-by-step explanation:
Subtracting means adding the opposite.
To subtract -4, you add the opposite of -4 which is 4, so you add 4.
9 - (-4) = 9 + 4 = 13
Answer: d 13
